Question

find three consecutive even number whose sum is 234

Answer 1

let the three numbers be x,x+2 and x+4
so x+x+2+x+4=234
3x+6=234
3x=228
x=228/3=76
so the three numbers are 76,78 ,nd 80

Answer 2

given sum of three consecutive integer = 234

234 = 2 × 3 × 3 × 13

= 2 × ( 3 × 3 ) × 13

take one 3 out from the pair.

2 × 3 × 13 = 78

subtract 2 or add 2 in the obtained number for getting other two numbers.

first number = 78 - 2 = 76

second number = 78 ( itself )

third number will be = 78+ 2 = 80

76 + 78 + 80 = 234

hence, the required three consecutive even numbers are 76 , 78 , 80 .